On the divisorial spectrum of a Noetherian domain |
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| Authors: | Evan Houston Abdeslam Mimouni |
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| Institution: | a Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA
b Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, P.O. Box 5046, Dhahran 31261, Saudi Arabia |
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| Abstract: | For a Noetherian domain, the sets of divisorial primes, t-primes, and associated primes of principal ideals coincide. We study the divisorial primes of a Noetherian domain as a partially ordered set. In particular, we show that it is possible to have arbitrarily long chains and any finite amount of noncatenarity. |
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| Keywords: | Primary 13C15 13E05 secondary 13A15 13G05 |
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